Elliptic curve search results

Results (1-50 of 127 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
17.a4	17a4	17.a	17a	$4$	$4$	\( 17 \)	\( 17 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	32.96.0.10	2B	$1088$	$1536$	$53$	$1$	$1$		$3$	$4$	$-1.069784$	$35937/17$	$1.02432$	$3.70234$	$[1, -1, 1, -1, 0]$	\(y^2+xy+y=x^3-x^2-x\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 16.48.0-16.j.1.1, 32.96.0-32.f.2.2, $\ldots$	$[ ]$	$4$
153.c3	153c1	153.c	153c	$4$	$4$	\( 3^{2} \cdot 17 \)	\( 3^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$3264$	$1536$	$53$	$1$	$1$		$1$	$8$	$-0.520477$	$35937/17$	$1.02432$	$3.39557$	$[1, -1, 0, -6, -1]$	\(y^2+xy=x^3-x^2-6x-1\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0.j.1, $\ldots$	$[ ]$	$1$
272.b3	272b1	272.b	272b	$4$	$4$	\( 2^{4} \cdot 17 \)	\( 2^{12} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.18	2B	$1088$	$1536$	$53$	$0.509074358$	$1$		$9$	$16$	$-0.376636$	$35937/17$	$1.02432$	$3.35497$	$[0, 0, 0, -11, -6]$	\(y^2=x^3-11x-6\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 16.48.0-16.j.1.3, 32.96.0-32.f.2.1, $\ldots$	$[(5, 8)]$	$1$
289.a4	289a1	289.a	289a	$4$	$4$	\( 17^{2} \)	\( 17^{7} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.12	2B	$1088$	$1536$	$53$	$3.035256177$	$1$		$5$	$72$	$0.346823$	$35937/17$	$1.02432$	$4.85117$	$[1, -1, 1, -199, 510]$	\(y^2+xy+y=x^3-x^2-199x+510\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.8, 16.48.0-16.j.1.8, 32.96.0-32.f.2.7, $\ldots$	$[(-12, 38)]$	$1$
425.d4	425a1	425.d	425a	$4$	$4$	\( 5^{2} \cdot 17 \)	\( 5^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$5440$	$1536$	$53$	$1.500953055$	$1$		$3$	$32$	$-0.265064$	$35937/17$	$1.02432$	$3.32879$	$[1, -1, 0, -17, 16]$	\(y^2+xy=x^3-x^2-17x+16\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 20.12.0-4.c.1.2, $\ldots$	$[(0, 4)]$	$1$
833.a3	833a1	833.a	833a	$4$	$4$	\( 7^{2} \cdot 17 \)	\( 7^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$7616$	$1536$	$53$	$1$	$1$		$1$	$72$	$-0.096828$	$35937/17$	$1.02432$	$3.29589$	$[1, -1, 1, -34, -24]$	\(y^2+xy+y=x^3-x^2-34x-24\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 28.12.0-4.c.1.2, $\ldots$	$[ ]$	$1$
1088.h3	1088k1	1088.h	1088k	$4$	$4$	\( 2^{6} \cdot 17 \)	\( 2^{18} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.94	2B	$1088$	$1536$	$53$	$1.300533693$	$1$		$5$	$128$	$-0.030063$	$35937/17$	$1.02432$	$3.28459$	$[0, 0, 0, -44, -48]$	\(y^2=x^3-44x-48\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.5, 16.48.0-16.j.1.5, 32.96.0-32.f.2.6, $\ldots$	$[(-4, 8)]$	$1$
1088.i4	1088e1	1088.i	1088e	$4$	$4$	\( 2^{6} \cdot 17 \)	\( 2^{18} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.98	2B	$1088$	$1536$	$53$	$1$	$1$		$1$	$128$	$-0.030063$	$35937/17$	$1.02432$	$3.28459$	$[0, 0, 0, -44, 48]$	\(y^2=x^3-44x+48\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.7, 16.48.0-16.j.1.7, 32.96.0-32.f.2.5, $\ldots$	$[ ]$	$1$
2057.e3	2057c1	2057.e	2057c	$4$	$4$	\( 11^{2} \cdot 17 \)	\( 11^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$11968$	$1536$	$53$	$1$	$1$		$1$	$360$	$0.129164$	$35937/17$	$1.02432$	$3.26083$	$[1, -1, 0, -83, -104]$	\(y^2+xy=x^3-x^2-83x-104\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[ ]$	$1$
2448.o4	2448o1	2448.o	2448o	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 17 \)	\( 2^{12} \cdot 3^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$3264$	$1536$	$53$	$0.906059972$	$1$		$7$	$512$	$0.172670$	$35937/17$	$1.02432$	$3.25501$	$[0, 0, 0, -99, 162]$	\(y^2=x^3-99x+162\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0.j.1, $\ldots$	$[(1, 8)]$	$1$
2601.g3	2601j1	2601.g	2601j	$4$	$4$	\( 3^{2} \cdot 17^{2} \)	\( 3^{6} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$3264$	$1536$	$53$	$1$	$1$		$1$	$2304$	$0.896130$	$35937/17$	$1.02432$	$4.33393$	$[1, -1, 0, -1788, -11989]$	\(y^2+xy=x^3-x^2-1788x-11989\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0.j.1, $\ldots$	$[ ]$	$1$
2873.c4	2873a1	2873.c	2873a	$4$	$4$	\( 13^{2} \cdot 17 \)	\( 13^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$14144$	$1536$	$53$	$1$	$1$		$1$	$576$	$0.212691$	$35937/17$	$1.02432$	$3.24989$	$[1, -1, 0, -116, 235]$	\(y^2+xy=x^3-x^2-116x+235\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[ ]$	$1$
3825.d3	3825i1	3825.d	3825i	$4$	$4$	\( 3^{2} \cdot 5^{2} \cdot 17 \)	\( 3^{6} \cdot 5^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$16320$	$1536$	$53$	$1.381504994$	$1$		$7$	$1024$	$0.284242$	$35937/17$	$1.02432$	$3.24122$	$[1, -1, 1, -155, -278]$	\(y^2+xy+y=x^3-x^2-155x-278\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(-2, 5)]$	$1$
4624.d3	4624e1	4624.d	4624e	$4$	$4$	\( 2^{4} \cdot 17^{2} \)	\( 2^{12} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.20	2B	$1088$	$1536$	$53$	$1$	$1$		$1$	$4608$	$1.039970$	$35937/17$	$1.02432$	$4.24298$	$[0, 0, 0, -3179, -29478]$	\(y^2=x^3-3179x-29478\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.6, 16.48.0-16.j.1.6, 32.96.0-32.f.2.8, $\ldots$	$[ ]$	$1$
6137.b3	6137b1	6137.b	6137b	$4$	$4$	\( 17 \cdot 19^{2} \)	\( 17 \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$20672$	$1536$	$53$	$3.574503186$	$1$		$3$	$1728$	$0.402436$	$35937/17$	$1.02432$	$3.22814$	$[1, -1, 0, -248, -581]$	\(y^2+xy=x^3-x^2-248x-581\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(670, 16993)]$	$1$
6800.n3	6800h1	6800.n	6800h	$4$	$4$	\( 2^{4} \cdot 5^{2} \cdot 17 \)	\( 2^{12} \cdot 5^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$5440$	$1536$	$53$	$1$	$1$		$1$	$2048$	$0.428083$	$35937/17$	$1.02432$	$3.22549$	$[0, 0, 0, -275, -750]$	\(y^2=x^3-275x-750\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 20.12.0-4.c.1.1, $\ldots$	$[ ]$	$1$
7225.g4	7225b1	7225.g	7225b	$4$	$4$	\( 5^{2} \cdot 17^{2} \)	\( 5^{6} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$5440$	$1536$	$53$	$7.904266758$	$1$		$1$	$9216$	$1.151543$	$35937/17$	$1.02432$	$4.18055$	$[1, -1, 0, -4967, 58816]$	\(y^2+xy=x^3-x^2-4967x+58816\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 20.12.0-4.c.1.2, $\ldots$	$[(-1764/5, 33526/5)]$	$1$
7497.l4	7497o1	7497.l	7497o	$4$	$4$	\( 3^{2} \cdot 7^{2} \cdot 17 \)	\( 3^{6} \cdot 7^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$22848$	$1536$	$53$	$1$	$1$		$1$	$2304$	$0.452478$	$35937/17$	$1.02432$	$3.22302$	$[1, -1, 0, -303, 944]$	\(y^2+xy=x^3-x^2-303x+944\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[ ]$	$1$
8993.a3	8993a1	8993.a	8993a	$4$	$4$	\( 17 \cdot 23^{2} \)	\( 17 \cdot 23^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$25024$	$1536$	$53$	$1$	$1$		$1$	$3080$	$0.497964$	$35937/17$	$1.02432$	$3.21857$	$[1, -1, 1, -364, -1050]$	\(y^2+xy+y=x^3-x^2-364x-1050\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[ ]$	$1$
9792.i4	9792bs1	9792.i	9792bs	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 17 \)	\( 2^{18} \cdot 3^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$3264$	$1536$	$53$	$1.247582370$	$1$		$5$	$4096$	$0.519243$	$35937/17$	$1.02432$	$3.21654$	$[0, 0, 0, -396, 1296]$	\(y^2=x^3-396x+1296\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 24.24.0-8.o.1.7, $\ldots$	$[(0, 36)]$	$1$
9792.n3	9792m1	9792.n	9792m	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 17 \)	\( 2^{18} \cdot 3^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$3264$	$1536$	$53$	$1$	$1$		$1$	$4096$	$0.519243$	$35937/17$	$1.02432$	$3.21654$	$[0, 0, 0, -396, -1296]$	\(y^2=x^3-396x-1296\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 24.24.0-8.o.1.5, $\ldots$	$[ ]$	$1$
13328.p4	13328o1	13328.p	13328o	$4$	$4$	\( 2^{4} \cdot 7^{2} \cdot 17 \)	\( 2^{12} \cdot 7^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$7616$	$1536$	$53$	$2.207775952$	$1$		$5$	$4608$	$0.596319$	$35937/17$	$1.02432$	$3.20951$	$[0, 0, 0, -539, 2058]$	\(y^2=x^3-539x+2058\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 28.12.0-4.c.1.1, $\ldots$	$[(29, 104)]$	$1$
14161.b3	14161b1	14161.b	14161b	$4$	$4$	\( 7^{2} \cdot 17^{2} \)	\( 7^{6} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$7616$	$1536$	$53$	$1$	$1$		$1$	$20736$	$1.319778$	$35937/17$	$1.02432$	$4.09743$	$[1, -1, 1, -9736, -155550]$	\(y^2+xy+y=x^3-x^2-9736x-155550\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 28.12.0-4.c.1.2, $\ldots$	$[ ]$	$1$
14297.b4	14297a1	14297.b	14297a	$4$	$4$	\( 17 \cdot 29^{2} \)	\( 17 \cdot 29^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$31552$	$1536$	$53$	$8.832140463$	$1$		$1$	$6048$	$0.613865$	$35937/17$	$1.02432$	$3.20798$	$[1, -1, 0, -578, 2431]$	\(y^2+xy=x^3-x^2-578x+2431\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(882/17, 121411/17)]$	$1$
16337.a3	16337a1	16337.a	16337a	$4$	$4$	\( 17 \cdot 31^{2} \)	\( 17 \cdot 31^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$33728$	$1536$	$53$	$1$	$1$		$1$	$7560$	$0.647210$	$35937/17$	$1.02432$	$3.20512$	$[1, -1, 1, -661, -2628]$	\(y^2+xy+y=x^3-x^2-661x-2628\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[ ]$	$1$
18496.i4	18496c1	18496.i	18496c	$4$	$4$	\( 2^{6} \cdot 17^{2} \)	\( 2^{18} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.100	2B	$1088$	$1536$	$53$	$1.430890084$	$1$		$5$	$36864$	$1.386543$	$35937/17$	$1.02432$	$4.06760$	$[0, 0, 0, -12716, 235824]$	\(y^2=x^3-12716x+235824\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.2, 16.48.0-16.j.1.2, 32.96.0-32.f.2.4, $\ldots$	$[(-51, 867)]$	$1$
18496.k3	18496j1	18496.k	18496j	$4$	$4$	\( 2^{6} \cdot 17^{2} \)	\( 2^{18} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.96	2B	$1088$	$1536$	$53$	$1$	$1$		$1$	$36864$	$1.386543$	$35937/17$	$1.02432$	$4.06760$	$[0, 0, 0, -12716, -235824]$	\(y^2=x^3-12716x-235824\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.4, 16.48.0-16.j.1.4, 32.96.0-32.f.2.3, $\ldots$	$[ ]$	$1$
18513.g4	18513q1	18513.g	18513q	$4$	$4$	\( 3^{2} \cdot 11^{2} \cdot 17 \)	\( 3^{6} \cdot 11^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$35904$	$1536$	$53$	$1$	$1$		$1$	$11520$	$0.678471$	$35937/17$	$1.02432$	$3.20251$	$[1, -1, 1, -749, 3556]$	\(y^2+xy+y=x^3-x^2-749x+3556\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[ ]$	$1$
20825.u3	20825o1	20825.u	20825o	$4$	$4$	\( 5^{2} \cdot 7^{2} \cdot 17 \)	\( 5^{6} \cdot 7^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$38080$	$1536$	$53$	$5.701709753$	$1$		$1$	$9216$	$0.707891$	$35937/17$	$1.02432$	$3.20011$	$[1, -1, 0, -842, -3809]$	\(y^2+xy=x^3-x^2-842x-3809\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(1366/3, 47351/3)]$	$1$
23273.g4	23273b1	23273.g	23273b	$4$	$4$	\( 17 \cdot 37^{2} \)	\( 17 \cdot 37^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$40256$	$1536$	$53$	$15.55502528$	$1$		$1$	$12960$	$0.735676$	$35937/17$	$1.02432$	$3.19790$	$[1, -1, 0, -941, 4984]$	\(y^2+xy=x^3-x^2-941x+4984\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(-3612072/349, 3963831664/349)]$	$1$
25857.e3	25857i1	25857.e	25857i	$4$	$4$	\( 3^{2} \cdot 13^{2} \cdot 17 \)	\( 3^{6} \cdot 13^{6} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$42432$	$1536$	$53$	$2.401290110$	$1$		$13$	$18432$	$0.761997$	$35937/17$	$1.02432$	$3.19585$	$[1, -1, 1, -1046, -5300]$	\(y^2+xy+y=x^3-x^2-1046x-5300\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(-16, 92), (-20, 95)]$	$1$
27200.bi4	27200c1	27200.bi	27200c	$4$	$4$	\( 2^{6} \cdot 5^{2} \cdot 17 \)	\( 2^{18} \cdot 5^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$5440$	$1536$	$53$	$1.858110862$	$1$		$5$	$16384$	$0.774656$	$35937/17$	$1.02432$	$3.19488$	$[0, 0, 0, -1100, 6000]$	\(y^2=x^3-1100x+6000\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(5, 25)]$	$1$
27200.bp3	27200br1	27200.bp	27200br	$4$	$4$	\( 2^{6} \cdot 5^{2} \cdot 17 \)	\( 2^{18} \cdot 5^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$5440$	$1536$	$53$	$1$	$1$		$1$	$16384$	$0.774656$	$35937/17$	$1.02432$	$3.19488$	$[0, 0, 0, -1100, -6000]$	\(y^2=x^3-1100x-6000\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[ ]$	$1$
28577.a4	28577a1	28577.a	28577a	$4$	$4$	\( 17 \cdot 41^{2} \)	\( 17 \cdot 41^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$44608$	$1536$	$53$	$3.481365645$	$1$		$3$	$17280$	$0.787003$	$35937/17$	$1.02432$	$3.19394$	$[1, -1, 1, -1156, 6750]$	\(y^2+xy+y=x^3-x^2-1156x+6750\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(6, -1)]$	$1$
31433.b3	31433b1	31433.b	31433b	$4$	$4$	\( 17 \cdot 43^{2} \)	\( 17 \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$46784$	$1536$	$53$	$6.498981354$	$1$		$1$	$20160$	$0.810817$	$35937/17$	$1.02432$	$3.19215$	$[1, -1, 0, -1271, -7136]$	\(y^2+xy=x^3-x^2-1271x-7136\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(25075/14, 3618623/14)]$	$1$
32912.i4	32912t1	32912.i	32912t	$4$	$4$	\( 2^{4} \cdot 11^{2} \cdot 17 \)	\( 2^{12} \cdot 11^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$11968$	$1536$	$53$	$2.659139967$	$1$		$3$	$23040$	$0.822311$	$35937/17$	$1.02432$	$3.19131$	$[0, 0, 0, -1331, 7986]$	\(y^2=x^3-1331x+7986\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(-39, 24)]$	$1$
34969.l3	34969e1	34969.l	34969e	$4$	$4$	\( 11^{2} \cdot 17^{2} \)	\( 11^{6} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$11968$	$1536$	$53$	$1$	$9$	$3$	$1$	$103680$	$1.545771$	$35937/17$	$1.02432$	$4.00261$	$[1, -1, 0, -24041, -607040]$	\(y^2+xy=x^3-x^2-24041x-607040\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[ ]$	$1$
37553.c3	37553a1	37553.c	37553a	$4$	$4$	\( 17 \cdot 47^{2} \)	\( 17 \cdot 47^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$51136$	$1536$	$53$	$5.885295743$	$1$		$1$	$26496$	$0.855290$	$35937/17$	$1.02432$	$3.18891$	$[1, -1, 1, -1519, -9354]$	\(y^2+xy+y=x^3-x^2-1519x-9354\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(16827/2, 2165661/2)]$	$1$
41616.v4	41616cl1	41616.v	41616cl	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 17^{2} \)	\( 2^{12} \cdot 3^{6} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$3264$	$1536$	$53$	$3.414393067$	$1$		$3$	$147456$	$1.589277$	$35937/17$	$1.02432$	$3.98621$	$[0, 0, 0, -28611, 795906]$	\(y^2=x^3-28611x+795906\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0.j.1, $\ldots$	$[(-9, 1026)]$	$1$
45968.k3	45968p1	45968.k	45968p	$4$	$4$	\( 2^{4} \cdot 13^{2} \cdot 17 \)	\( 2^{12} \cdot 13^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$14144$	$1536$	$53$	$2.561454242$	$1$		$1$	$36864$	$0.905839$	$35937/17$	$1.02432$	$3.18535$	$[0, 0, 0, -1859, -13182]$	\(y^2=x^3-1859x-13182\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(-39/2, 507/2)]$	$1$
47753.i4	47753f1	47753.i	47753f	$4$	$4$	\( 17 \cdot 53^{2} \)	\( 17 \cdot 53^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$57664$	$1536$	$53$	$1$	$4$	$2$	$1$	$37440$	$0.915362$	$35937/17$	$1.02432$	$3.18470$	$[1, -1, 0, -1931, 14440]$	\(y^2+xy=x^3-x^2-1931x+14440\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[ ]$	$1$
48841.c4	48841a1	48841.c	48841a	$4$	$4$	\( 13^{2} \cdot 17^{2} \)	\( 13^{6} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$14144$	$1536$	$53$	$3.644094030$	$1$		$3$	$165888$	$1.629297$	$35937/17$	$1.02432$	$3.97158$	$[1, -1, 0, -33578, 1020319]$	\(y^2+xy=x^3-x^2-33578x+1020319\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(1254, 43301)]$	$1$
51425.m3	51425u1	51425.m	51425u	$4$	$4$	\( 5^{2} \cdot 11^{2} \cdot 17 \)	\( 5^{6} \cdot 11^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$59840$	$1536$	$53$	$5.356649565$	$1$		$1$	$46080$	$0.933884$	$35937/17$	$1.02432$	$3.18344$	$[1, -1, 1, -2080, -15078]$	\(y^2+xy+y=x^3-x^2-2080x-15078\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(856/3, 20315/3)]$	$1$
53312.ba3	53312o1	53312.ba	53312o	$4$	$4$	\( 2^{6} \cdot 7^{2} \cdot 17 \)	\( 2^{18} \cdot 7^{6} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$7616$	$1536$	$53$	$5.711203455$	$1$		$9$	$36864$	$0.942892$	$35937/17$	$1.02432$	$3.18283$	$[0, 0, 0, -2156, -16464]$	\(y^2=x^3-2156x-16464\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(-10, 64), (-40, 76)]$	$1$
53312.bb4	53312bt1	53312.bb	53312bt	$4$	$4$	\( 2^{6} \cdot 7^{2} \cdot 17 \)	\( 2^{18} \cdot 7^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$7616$	$1536$	$53$	$2.411947496$	$1$		$5$	$36864$	$0.942892$	$35937/17$	$1.02432$	$3.18283$	$[0, 0, 0, -2156, 16464]$	\(y^2=x^3-2156x+16464\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(74, 512)]$	$1$
55233.g4	55233g1	55233.g	55233g	$4$	$4$	\( 3^{2} \cdot 17 \cdot 19^{2} \)	\( 3^{6} \cdot 17 \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$62016$	$1536$	$53$	$3.338085769$	$1$		$3$	$55296$	$0.951742$	$35937/17$	$1.02432$	$3.18224$	$[1, -1, 1, -2234, 17920]$	\(y^2+xy+y=x^3-x^2-2234x+17920\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(518, 11473)]$	$1$
59177.d3	59177b1	59177.d	59177b	$4$	$4$	\( 17 \cdot 59^{2} \)	\( 17 \cdot 59^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$64192$	$1536$	$53$	$8.628537383$	$1$		$1$	$50112$	$0.968986$	$35937/17$	$1.02432$	$3.18109$	$[1, -1, 0, -2393, -18656]$	\(y^2+xy=x^3-x^2-2393x-18656\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(237315/62, 53894911/62)]$	$1$
61200.gy4	61200fz1	61200.gy	61200fz	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$16320$	$1536$	$53$	$1$	$1$		$1$	$65536$	$0.977389$	$35937/17$	$1.02432$	$3.18054$	$[0, 0, 0, -2475, 20250]$	\(y^2=x^3-2475x+20250\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[ ]$	$1$
63257.a4	63257a1	63257.a	63257a	$4$	$4$	\( 17 \cdot 61^{2} \)	\( 17 \cdot 61^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$66368$	$1536$	$53$	$4.373139313$	$1$		$3$	$56160$	$0.985654$	$35937/17$	$1.02432$	$3.18000$	$[1, -1, 0, -2558, 21919]$	\(y^2+xy=x^3-x^2-2558x+21919\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[(-54, 7)]$	$1$
65025.u3	65025bo1	65025.u	65025bo	$4$	$4$	\( 3^{2} \cdot 5^{2} \cdot 17^{2} \)	\( 3^{6} \cdot 5^{6} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$16320$	$1536$	$53$	$1$	$1$		$1$	$294912$	$1.700848$	$35937/17$	$1.02432$	$3.94649$	$[1, -1, 1, -44705, -1543328]$	\(y^2+xy+y=x^3-x^2-44705x-1543328\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$	$[ ]$	$1$

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